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Proof step 14 from proof mod-add-zero (previous step)

j0 > 0, j * i1 > 0, j0 + j * i1 = 0, j0 < j, 0 < j, 0 < i1, 0 ≤ j0, 0 ≤ i0 ⊦ j0 + j * i1 > 0, j * i1 = 0, j0 = 0, i1 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ i > j ↔ j < i
Proof step 16:
j0 > 0, j * i1 > 0, j0 + j * i1 = 0, j0 < j, 0 < j, 0 < i1, 0 ≤ j0, 0 ≤ i0 ⊦ 0 < j0 + j * i1, j * i1 = 0, j0 = 0, i1 = 0

Rule argument

spec: int-abs inst: name: gr-def seq: ⊦ i > j ↔ j < i subst: [j, i] → [0, j0 + j * i1] flags: rewrite

Additional information

Used terms: 0, j0 + j * i1